2090427678720 has 544 divisors, whose sum is σ = 7526914703040. Its totient is φ = 557256278016.

The previous prime is 2090427678659. The next prime is 2090427678743. The reversal of 2090427678720 is 278767240902.

It is a happy number.

2090427678720 is a `hidden beast` number, since 2 + 0 + 90 + 427 + 67 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716634702 + ... + 716637618.

Almost surely, 2^{2090427678720} is an apocalyptic number.

2090427678720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090427678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763457351520).

2090427678720 is an abundant number, since it is smaller than the sum of its proper divisors (5436487024320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2090427678720 is an frugal number, since it uses more digits than its factorization.

2090427678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 2090427678720 in words is "two trillion, ninety billion, four hundred twenty-seven million, six hundred seventy-eight thousand, seven hundred twenty".